Word Problems on Multiplying Mixed Number and Fraction — Printable ... - Free Printable

Let’s solve each problem one by one.

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Problem 1: Amy bought three and one-half lbs of flour and used half of it to bake cookies. How much flour did Amy use?

Step 1: Convert “three and one-half” to an improper fraction.
3½ = (3 × 2 + 1)/2 = 7/2

Step 2: She used half of it → multiply by ½
(7/2) × (1/2) = 7/4

Step 3: Convert back to mixed number
7 ÷ 4 = 1 with remainder 3 → 1¾

✔ So, Amy used 1¾ lbs of flour.

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Problem 2: Tom has a rectangular cloth of length four and one-third inches and breadth one-fourth inch. Find the area of the fabric.

Step 1: Convert “four and one-third” to improper fraction.
4⅓ = (4 × 3 + 1)/3 = 13/3

Step 2: Area = length × breadth
(13/3) × (1/4) = 13/12

Step 3: Convert to mixed number
13 ÷ 12 = 1 with remainder 1 → 1¹⁄₁₂

✔ So, the area is 1¹⁄₁₂ square inches.

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Problem 3: Sia bought five and one-half lbs of fruits and used one-third of it to make smoothies. How much fruit did Sia use?

Step 1: Convert “five and one-half” to improper fraction.
5½ = (5 × 2 + 1)/2 = 11/2

Step 2: Used one-third → multiply by ⅓
(11/2) × (1/3) = 11/6

Step 3: Convert to mixed number
11 ÷ 6 = 1 with remainder 5 → 1⁵⁄₆

✔ So, Sia used 1⁵⁄₆ lbs of fruit.

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Problem 4: Emily has a rectangular flower patch of length two and one-fifth yards and breadth three-fourths yard. Find the area of the patch.

Step 1: Convert “two and one-fifth” to improper fraction.
2⅕ = (2 × 5 + 1)/5 = 11/5

Step 2: Area = length × breadth
(11/5) × (3/4) = 33/20

Step 3: Convert to mixed number
33 ÷ 20 = 1 with remainder 13 → 1¹³⁄₂₀

✔ So, the area is 1¹³⁄₂₀ square yards.

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Problem 5: Ben bought seven and one-third yards of fabric and used one-fifth of it to make a scarf. How much fabric did Ben use?

Step 1: Convert “seven and one-third” to improper fraction.
7⅓ = (7 × 3 + 1)/3 = 22/3

Step 2: Used one-fifth → multiply by ⅕
(22/3) × (1/5) = 22/15

Step 3: Convert to mixed number
22 ÷ 15 = 1 with remainder 7 → 1⁷⁄₁₅

✔ So, Ben used 1⁷⁄₁₅ yards of fabric.

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Final Answer:
Amy used 1¾ lbs, Tom’s cloth has area 1¹⁄₁₂ sq in, Sia used 1⁵⁄₆ lbs, Emily’s patch is 1¹³⁄₂₀ sq yd, Ben used 1⁷⁄₁₅ yd.